3 Graphs

3 graphs were plotted on an infinite XY graph. The formulas of the graphs are shown below:

1: $x$ + $y$ = $xy$

2: $x$ - $y$ = $x^2$

3: $x$ - $y$ = $y^2$

Obviously, all the 3 graphs meet at the origin. But for 2 of these graphs, they do not meet each other at a point on the infinite XY graph, other than the origin.

So which of the 3 graphs meet the other 2 graphs at a point on the infinite XY graph, other than the origin?